42496196198400 has 2160 divisors, whose sum is σ = 182669014434816. Its totient is φ = 9240041226240.

The previous prime is 42496196198369. The next prime is 42496196198431. The reversal of 42496196198400 is 489169169424.

42496196198400 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 6 + 1 + 9 + 619 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42496196198369) and next prime (42496196198431).

It is a super-2 number, since 2×42496196198400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44874546727 + ... + 44874547673.

Almost surely, 2^{42496196198400} is an apocalyptic number.

42496196198400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42496196198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91334507217408).

42496196198400 is an abundant number, since it is smaller than the sum of its proper divisors (140172818236416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42496196198400 is a wasteful number, since it uses less digits than its factorization.

42496196198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 42496196198400 in words is "forty-two trillion, four hundred ninety-six billion, one hundred ninety-six million, one hundred ninety-eight thousand, four hundred".